10132091400 has 96 divisors (see below), whose sum is σ = 31426113600. Its totient is φ = 2700460800.

The previous prime is 10132091383. The next prime is 10132091407. The reversal of 10132091400 is 419023101.

10132091400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10132091400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132091407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1623486 + ... + 1629714.

It is an arithmetic number, because the mean of its divisors is an integer number (327355350).

Almost surely, 2^10132091400 is an apocalyptic number.

10132091400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132091400 is an abundant number, since it is smaller than the sum of its proper divisors (21294022200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132091400 is a wasteful number, since it uses less digits than its factorization.

10132091400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 10132091400 in words is "ten billion, one hundred thirty-two million, ninety-one thousand, four hundred".